Modeling contagion in the Eurozone crisis via dynamical systems

Giuseppe Castellacci, Youngna Choi

Research output: Contribution to journalArticleResearchpeer-review

11 Citations (Scopus)

Abstract

We recently (Castellacci and Choi, 2013) formulated a theoretical framework for the modeling of financial instability contagion using the theories of dynamical systems. Here, our main goal is to model the Eurozone financial crisis within that framework. The underlying system comprises many economic agents that belong to several subsystems. In each instantiation of this framework, the hierarchy and nesting of the subsystems is dictated by the nature of the problem at hand. We describe in great detail how a suitable model can be set up for the Eurozone crisis. The dynamical system is defined by the evolution of the wealths of the individual agents and can be estimated by solving a nonlinear programming problem that incorporates features of prospect theory. Contagion is formulated in terms of how the market instability indicators for the different subsystems and the global system behave. We present several scenarios tailored to recent financial developments in the Eurozone and discussed within our model. These all point to the key role played by the elasticity coefficients of the wealth dynamical system. Accordingly, we put forward general recommendations on how regulators or other super-systemic agents may act to prevent and forestall the spreading of financial distress.

Original languageEnglish
Pages (from-to)400-410
Number of pages11
JournalJournal of Banking and Finance
Volume50
DOIs
StatePublished - 1 Jan 2015

Fingerprint

Subsystem
Contagion
Euro zone
Dynamical systems
Modeling
Economics
Prospect theory
Wealth
Financial distress
Financial instability
Coefficients
Nonlinear programming
Financial crisis
Scenarios
Elasticity
Financial development
Theoretical framework

Keywords

  • Bifurcation
  • Contagion
  • Dynamical systems
  • Market instability indicator
  • Multi-agent models
  • Sovereign credit
  • Systemic risk

Cite this

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title = "Modeling contagion in the Eurozone crisis via dynamical systems",
abstract = "We recently (Castellacci and Choi, 2013) formulated a theoretical framework for the modeling of financial instability contagion using the theories of dynamical systems. Here, our main goal is to model the Eurozone financial crisis within that framework. The underlying system comprises many economic agents that belong to several subsystems. In each instantiation of this framework, the hierarchy and nesting of the subsystems is dictated by the nature of the problem at hand. We describe in great detail how a suitable model can be set up for the Eurozone crisis. The dynamical system is defined by the evolution of the wealths of the individual agents and can be estimated by solving a nonlinear programming problem that incorporates features of prospect theory. Contagion is formulated in terms of how the market instability indicators for the different subsystems and the global system behave. We present several scenarios tailored to recent financial developments in the Eurozone and discussed within our model. These all point to the key role played by the elasticity coefficients of the wealth dynamical system. Accordingly, we put forward general recommendations on how regulators or other super-systemic agents may act to prevent and forestall the spreading of financial distress.",
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Modeling contagion in the Eurozone crisis via dynamical systems. / Castellacci, Giuseppe; Choi, Youngna.

In: Journal of Banking and Finance, Vol. 50, 01.01.2015, p. 400-410.

Research output: Contribution to journalArticleResearchpeer-review

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